A) \[90{}^\circ \]
B) \[45{}^\circ \]
C) \[30{}^\circ \]
D) \[60{}^\circ \]
Correct Answer: D
Solution :
(d): \[\frac{1+\frac{\cos \theta }{\sin \theta }}{1-\frac{\cos \theta }{\sin \theta }}=\frac{1+\frac{1}{\sqrt{3}}}{1-\frac{1}{\sqrt{3}}}\] \[\Rightarrow \] \[\frac{1+\cot \theta }{1-\cot \theta }=\frac{1+\frac{1}{\sqrt{3}}}{1-\frac{1}{\sqrt{3}}}\] \[\Rightarrow \] \[\cot \theta =\frac{1}{\sqrt{3}}=\cot 60{}^\circ \Rightarrow \theta =60{}^\circ \]
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